Math Practice U2-L2

Question

All Unit 2 Math Practice Links
Recording link
*Passcode can be found on the Connexus Pushpin under your Math Class! Use the one for Mrs. Garcia!

Function of the Day:

What do you know?

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10.

Vocabulary Terms - Define/Illustrate

Natural/Counting Number
Whole Number
Integer

5 Problems - SHOW ALL WORK!

Which of the following is an irrational number?
𝝅
-16/3
2.66666666666….
18

The display of a student’s calculator shows: 1.2731568, the student is most likely looking at______.
A natural number
An integer
A whole number
An irrational number.
The number -5 is all of the following except _______.
An integer
A irrational number
A whole number
A real number

If a number is a whole number, then it cannot be_____.
An irrational number
A natural number
An integer
A rational number
Luis starts to do a division problem and notices that there is a pattern of repeating digits to the right of the decimal point but it never ends. This number is______.
Irrational
Rational
An integer
Natural
What do I need help with?

Answer 1

Function of the Day:

Here are some prompts to help you reflect on your understanding of functions:

1. What is a function?
2. How do you determine if a relationship is a function?
3. What is the difference between input and output in a function?
4. Can a function have multiple outputs for a single input?
5. What is a linear function?
6. Give an example of a non-linear function.
7. What is the domain of a function?
8. What is the range of a function?
9. How do you represent a function using a graph?
10. What are function notations, and how are they used?

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Vocabulary Terms - Define/Illustrate

Natural/Counting Number: A natural number is a positive integer that starts from 1 and continues indefinitely (1, 2, 3, ...). Illustration: 1, 2, 3.

Whole Number: A whole number is a natural number including zero (0, 1, 2, 3, ...). Illustration: 0, 1, 2.

Integer: An integer is a whole number that can be positive, negative, or zero (-2, -1, 0, 1, 2). Illustration: -2, -1, 0, 1, 2.

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5 Problems - SHOW ALL WORK!

1. Which of the following is an irrational number?

   • π (pi) is approximately 3.14159... and has non-repeating decimals, which makes it irrational.
   • -16/3 is rational since it can be expressed as a fraction.
   • 2.66666666666... is rational because it has repeating decimals (2.6).
   • 18 is a whole number and thus rational.

   Answer: π is an irrational number.

2. The display of a student’s calculator shows: 1.2731568, the student is most likely looking at_____?

   • Options:
     • A natural number (not whole)
     • An integer (not whole)
     • A whole number (not whole)
     • An irrational number (not an integer).

   Since 1.2731568 has a decimal, it's not a whole number or integer.

   Answer: An irrational number.

3. The number -5 is all of the following except______?

   • Options:
     • An integer (it is an integer),
     • An irrational number (it is not irrational),
     • A whole number (it is not a whole number),
     • A real number (it is a real number).

   Answer: An irrational number.

4. If a number is a whole number, then it cannot be_____?

   • Options:
     • An irrational number (true),
     • A natural number (false, it can be),
     • An integer (false, it can be),
     • A rational number (false, it can be).

   Answer: An irrational number.

5. Luis starts to do a division problem and notices that there is a pattern of repeating digits to the right of the decimal point but it never ends. This number is______?

   • Options:
     • Irrational (false, repeating decimals are rational),
     • Rational (true),
     • An integer (false),
     • Natural (false).

   Answer: Rational.

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What do I need help with?

If you need assistance, please specify the areas you find difficult, whether it's understanding concepts of functions, classifications of numbers, or how to identify rational vs. irrational numbers, and I'll be glad to help!